|
Search: id:A069876
|
|
|
| A069876 |
|
a(1) = 1, a(2) = 2^2 + 3^2; a(n) = (k-n+1)^n + (k-n)^n + ....(k-1)^n + k^n, where k = n(n+1)/2. |
|
+0
2
|
|
| 1, 13, 405, 23058, 2078375, 271739011, 48574262275, 11373936899396, 3377498614484589, 1240006139651007925, 551449374186192949841, 292093390490112799117190, 181694111127303339553250275
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
Sum of next n n-th powers.
|
|
EXAMPLE
|
a(1) = 1^1 = 1; a(2) = 2^2 + 3^2 = 13; a(3) = 4^3 + 5^3 + 6^3 = 405, a(4) = 7^4 + 8^4 + 9^4 + 10^4 = 23058.
|
|
MATHEMATICA
|
i1 := n(n-1)/2+1; i2 := n(n-1)/2+n; Table[Sum[i^n, {i, i1, i2}], {n, 20}]
|
|
CROSSREFS
|
Cf. A072474 (s=2), A075664 - A075670 (s=3-10), A075671 (s=n).
Sequence in context: A142122 A009010 A075672 this_sequence A126086 A055203 A088919
Adjacent sequences: A069873 A069874 A069875 this_sequence A069877 A069878 A069879
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Apr 25 2002
|
|
EXTENSIONS
|
More terms from Larry Reeves (larryr(AT)acm.org) and Zak Seidov (zakseidov(AT)yahoo.com), Sep 24 2002
|
|
|
Search completed in 0.002 seconds
|
